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Finding the Third Proportional to 264,224,660 and 552,541,312

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Solution

The third proportional to 264,224,660 and 552,541,312 is: 1,155,463,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224,660 : 552,541,312 = 552,541,312 : x
  2. Step 2: Convert to fraction form
    264,224,660/552,541,312 = 552,541,312/x
  3. Step 3: Cross multiply
    264,224,660x = 552,541,312 × 552,541,312
  4. Step 4: Simplify right side
    264,224,660x = 305,301,901,466,681,344
  5. Step 5: Solve for x
    x = 305,301,901,466,681,344/264,224,660
  6. Step 6: Final answer
    x = 1,155,463,314.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.